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Finding the Fourth Proportional to 1,665.66, 2,297.84 and 966.63

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Solution

The fourth proportional to 1,665.66, 2,297.84 and 966.63 is: 1,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.66 : 2,297.84 = 966.63 : x
  2. Step 2: Convert to fraction form
    1,665.66/2,297.84 = 966.63/x
  3. Step 3: Cross multiply
    1,665.66x = 2,297.84 × 966.63
  4. Step 4: Simplify right side
    1,665.66x = 2,221,152.01
  5. Step 5: Solve for x
    x = 2,221,152.01/1,665.66
  6. Step 6: Final answer
    x = 1,333.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.